The effects of electron-beam density on large-amplitude
ion-acoustic waves are
investigated in an electron-beam–plasma system with trapped electrons,
using
the pseudopotential method. The region of existence of ion-acoustic waves
is
examined, and it is shown that the conditions for their existence depend
sensitively on parameters such as the electron-beam density, the electrostatic
potential and the ion temperature. It turns out that a decrease in trapped
electrons, an increase in beam density and a decrease in ion temperature
increase the propagation speed of ion-acoustic waves, and the region of
their
existence spreads as the beam density decreases, the effect of trapped
electrons
decreases and the Mach numbers increases. New effects of electron-beam
density on large-amplitude ion-acoustic waves in a plasma with trapped
electrons are predicted.